The number 16100
16100 is a composite number with 36 divisors. Its prime factorisation is × × 7 × 23. Divisors (36): 1, 2, 4, 5, 7, 10, 14, 20, 23, 25, 28, 35, 46, 50, 70, 92 … 16100.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
16100 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
16100 is composite. Its prime factorisation is
- 3
The divisors add up to 41664; without 16100 itself that is 25564, so 16100 is abundant (25564 is more than 16100). Euler's totient φ(16100) = 5280 numbers up to 16100 share no factor with it.
- 4
The digits of 16100 add up to 8, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 71 steps to reach 1.
LaTeX source of the formulas on this page
\[ 16100 = 2^{2} \times 5^{2} \times 7 \times 23 \]16100 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 36 |
| Sum of divisors | 41664 |
| Euler totient φ(n) | 5280 |
| Square | 259210000 |
| Cube | 4173281000000 |
| Square root | 126.885775 (= 10√161) |
| Digit sum / digital root | 8 / 8 |
| Collatz steps to 1 | 71 |
| Scientific notation | 1.61 × |
16100 in other forms
| Form | Value |
|---|---|
| In words | sixteen thousand one hundred |
| Binary (base 2) | 11111011100100 |
| Octal (base 8) | 37344 |
| Hexadecimal (base 16) | 3EE4 |
| Base 3 | 211002022 |
| As time | 16100 seconds = 4 h 28 min 20 s |
Is 16100 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (16100 ÷ 2 = 8050) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (16100 ÷ 4 = 4025) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (16100 ÷ 5 = 3220) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (16100 ÷ 7 = 2300) | A number is divisible by 7 if double the last digit and subtract it from the rest: the result is a multiple of 7. |
| 8 | No (remainder 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (16100 ÷ 10 = 1610) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 16100 a prime number?
No. 16100 = × × 7 × 23, so it is divisible by 2.
What are the factors of 16100?
1, 2, 4, 5, 7, 10, 14, 20, 23, 25, 28, 35, 46, 50, 70, 92, 100, 115, 140, 161, 175, 230, 322, 350, 460, 575, 644, 700, 805, 1150, 1610, 2300, 3220, 4025, 8050, 16100.
What is 16100 in binary?
11111011100100 (hexadecimal 3EE4, octal 37344).
What is the square root of 16100?
About 126.8858, exactly 10√161.
Is 16100 divisible by 3?
No. Its digits add up to 8, which is not a multiple of 3.
What is special about the number 16100?
It is a composite number with 36 divisors.